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125662776401 is a prime number
BaseRepresentation
bin111010100001000010…
…1011100110001010001
3110000100122200110100202
41311002011130301101
54024324132321101
6133421221224545
712036016655411
oct1650205346121
9400318613322
10125662776401
11493253a7918
1220430262155
13bb08451436
146121452641
1534071ca36b
hex1d4215cc51

125662776401 has 2 divisors, whose sum is σ = 125662776402. Its totient is φ = 125662776400.

The previous prime is 125662776353. The next prime is 125662776433. The reversal of 125662776401 is 104677266521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100869124801 + 24793651600 = 317599^2 + 157460^2 .

It is an emirp because it is prime and its reverse (104677266521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 125662776401 - 222 = 125658582097 is a prime.

It is a super-2 number, since 2×1256627764012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (125662776461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62831388200 + 62831388201.

It is an arithmetic number, because the mean of its divisors is an integer number (62831388201).

Almost surely, 2125662776401 is an apocalyptic number.

It is an amenable number.

125662776401 is a deficient number, since it is larger than the sum of its proper divisors (1).

125662776401 is an equidigital number, since it uses as much as digits as its factorization.

125662776401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 846720, while the sum is 47.

The spelling of 125662776401 in words is "one hundred twenty-five billion, six hundred sixty-two million, seven hundred seventy-six thousand, four hundred one".