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125431001025 = 35211359423503
BaseRepresentation
bin111010011010001000…
…1010010111111000001
3102222202111120001022120
41310310101102333001
54023340314013100
6133342221354453
712030203626431
oct1646421227701
9388674501276
10125431001025
1149216591620
1220386708a29
13ba9c420045
1460dc75c2c1
1533e1b960a0
hex1d34452fc1

125431001025 has 48 divisors (see below), whose sum is σ = 226862622720. Its totient is φ = 60645486400.

The previous prime is 125431001021. The next prime is 125431001029. The reversal of 125431001025 is 520100134521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (125431001021) and next prime (125431001029).

It is not a de Polignac number, because 125431001025 - 22 = 125431001021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 125431000986 and 125431001004.

It is not an unprimeable number, because it can be changed into a prime (125431001021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84424 + ... + 507926.

It is an arithmetic number, because the mean of its divisors is an integer number (4726304640).

Almost surely, 2125431001025 is an apocalyptic number.

125431001025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125431001025 is a deficient number, since it is larger than the sum of its proper divisors (101431621695).

125431001025 is a wasteful number, since it uses less digits than its factorization.

125431001025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423886 (or 423881 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 125431001025 its reverse (520100134521), we get a palindrome (645531135546).

The spelling of 125431001025 in words is "one hundred twenty-five billion, four hundred thirty-one million, one thousand, twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 275 359 825 1077 1795 3949 5385 8975 11847 19745 26925 59235 98725 296175 423503 1270509 2117515 4658533 6352545 10587575 13975599 23292665 31762725 69877995 116463325 152037577 349389975 456112731 760187885 1672413347 2280563655 3800939425 5017240041 8362066735 11402818275 25086200205 41810333675 125431001025