90001251262513 has 2 divisors, whose sum is σ = 90001251262514. Its totient is φ = 90001251262512.

The previous prime is 90001251262501. The next prime is 90001251262537. The reversal of 90001251262513 is 31526215210009.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78684297753889 + 11316953508624 = 8870417^2 + 3364068^2 .

It is a cyclic number.

It is not a de Polignac number, because 90001251262513 - 2²⁵ = 90001217708081 is a prime.

It is not a weakly prime, because it can be changed into another prime (90001251262613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45000625631256 + 45000625631257.

It is an arithmetic number, because the mean of its divisors is an integer number (45000625631257).

Almost surely, 2^{90001251262513} is an apocalyptic number.

It is an amenable number.

90001251262513 is a deficient number, since it is larger than the sum of its proper divisors (1).

90001251262513 is an equidigital number, since it uses as much as digits as its factorization.

90001251262513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 90001251262513 in words is "ninety trillion, one billion, two hundred fifty-one million, two hundred sixty-two thousand, five hundred thirteen".