2251153100641 has 64 divisors (see below), whose sum is σ = 2588256000000. Its totient is φ = 1946849997312.

The previous prime is 2251153100639. The next prime is 2251153100683. The reversal of 2251153100641 is 1460013511522.

It is a cyclic number.

It is not a de Polignac number, because 2251153100641 - 2¹ = 2251153100639 is a prime.

It is a super-2 number, since 2×2251153100641² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2251153100341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 476029165 + ... + 476033893.

It is an arithmetic number, because the mean of its divisors is an integer number (40441500000).

Almost surely, 2^{2251153100641} is an apocalyptic number.

It is an amenable number.

2251153100641 is a deficient number, since it is larger than the sum of its proper divisors (337102899359).

2251153100641 is a wasteful number, since it uses less digits than its factorization.

2251153100641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5366.

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 2251153100641 in words is "two trillion, two hundred fifty-one billion, one hundred fifty-three million, one hundred thousand, six hundred forty-one".