1020540251000 has 64 divisors (see below), whose sum is σ = 2388683943360. Its totient is φ = 408110160000.

The previous prime is 1020540250979. The next prime is 1020540251011. The reversal of 1020540251000 is 1520450201.

It is a super-2 number, since 2×1020540251000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3780530 + ... + 4041470.

It is an arithmetic number, because the mean of its divisors is an integer number (37323186615).

Almost surely, 2^{1020540251000} is an apocalyptic number.

1020540251000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020540251000 is an abundant number, since it is smaller than the sum of its proper divisors (1368143692360).

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

1020540251000 is a wasteful number, since it uses less digits than its factorization.

1020540251000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264873 (or 264859 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The spelling of 1020540251000 in words is "one trillion, twenty billion, five hundred forty million, two hundred fifty-one thousand".