2025633731000 has 256 divisors, whose sum is σ = 5372352086400. Its totient is φ = 708115968000.

The previous prime is 2025633730957. The next prime is 2025633731003. The reversal of 2025633731000 is 1373365202.

It is a super-2 number, since 2×2025633731000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2025633731003) 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, 74313374 + ... + 74340626.

Almost surely, 2^{2025633731000} is an apocalyptic number.

2025633731000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2025633731000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686176043200).

2025633731000 is an abundant number, since it is smaller than the sum of its proper divisors (3346718355400).

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

2025633731000 is a wasteful number, since it uses less digits than its factorization.

2025633731000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27547 (or 27533 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 32.

The spelling of 2025633731000 in words is "two trillion, twenty-five billion, six hundred thirty-three million, seven hundred thirty-one thousand".