2563433413632 has 264 divisors, whose sum is σ = 9109982490336. Its totient is φ = 676070129664.

The previous prime is 2563433413631. The next prime is 2563433413633. The reversal of 2563433413632 is 2363143343652.

2563433413632 is a `hidden beast` number, since 2 + 5 + 6 + 3 + 4 + 3 + 3 + 4 + 1 + 3 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (2563433413631) and next prime (2563433413633).

It is a super-2 number, since 2×2563433413632² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2563433413631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 689643 + ... + 2366954.

Almost surely, 2^{2563433413632} is an apocalyptic number.

It is an amenable number.

2563433413632 is an abundant number, since it is smaller than the sum of its proper divisors (6546549076704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2563433413632 is a wasteful number, since it uses less digits than its factorization.

2563433413632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3056643 (or 3056622 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 45.

The spelling of 2563433413632 in words is "two trillion, five hundred sixty-three billion, four hundred thirty-three million, four hundred thirteen thousand, six hundred thirty-two".