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125462401 = 2324872
BaseRepresentation
bin1110111101001…
…10011110000001
322202002011001121
413132212132001
5224104244101
620241032241
73052261411
oct736463601
9282064047
10125462401
1164902839
1236025681
131ccba30c
141293c641
15b0340a1
hex77a6781

125462401 has 9 divisors (see below), whose sum is σ = 131424321. Its totient is φ = 119761092.

The previous prime is 125462387. The next prime is 125462413. The reversal of 125462401 is 104264521.

It is a happy number.

The square root of 125462401 is 11201.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 125462401 - 213 = 125454209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125462471) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 257380 + ... + 257866.

Almost surely, 2125462401 is an apocalyptic number.

125462401 is the 11201-st square number.

125462401 is the 5601-st centered octagonal number.

It is an amenable number.

125462401 is a deficient number, since it is larger than the sum of its proper divisors (5961920).

125462401 is an frugal number, since it uses more digits than its factorization.

125462401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The cubic root of 125462401 is about 500.6157759952.

Multiplying 125462401 by its sum of digits (25), we get a square (3136560025 = 560052).

The spelling of 125462401 in words is "one hundred twenty-five million, four hundred sixty-two thousand, four hundred one".

Divisors: 1 23 487 529 11201 237169 257623 5454887 125462401