13825007506257 has 16 divisors (see below), whose sum is σ = 18746838072000. Its totient is φ = 9059942058944.

The previous prime is 13825007506231. The next prime is 13825007506283. The reversal of 13825007506257 is 75260570052831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13825007506231) and next prime (13825007506283).

It is a cyclic number.

It is not a de Polignac number, because 13825007506257 - 2⁸ = 13825007506001 is a prime.

It is a super-2 number, since 2×13825007506257² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13825007506157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 917119 + ... + 5337707.

It is an arithmetic number, because the mean of its divisors is an integer number (1171677379500).

Almost surely, 2^{13825007506257} is an apocalyptic number.

It is an amenable number.

13825007506257 is a deficient number, since it is larger than the sum of its proper divisors (4921830565743).

13825007506257 is a wasteful number, since it uses less digits than its factorization.

13825007506257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4438320.

The product of its (nonzero) digits is 3528000, while the sum is 51.

The spelling of 13825007506257 in words is "thirteen trillion, eight hundred twenty-five billion, seven million, five hundred six thousand, two hundred fifty-seven".