1021957125 has 64 divisors (see below), whose sum is σ = 2057882112. Its totient is φ = 439680000.

The previous prime is 1021957081. The next prime is 1021957141. The reversal of 1021957125 is 5217591201.

1021957125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1021957125 - 2⁶ = 1021957061 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33175 + ... + 56075.

It is an arithmetic number, because the mean of its divisors is an integer number (32154408).

Almost surely, 2^1021957125 is an apocalyptic number.

1021957125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1021957125 is an abundant number, since it is smaller than the sum of its proper divisors (1035924987).

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

1021957125 is a wasteful number, since it uses less digits than its factorization.

1021957125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22943 (or 22933 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 33.

The square root of 1021957125 is about 31968.0641422029. The cubic root of 1021957125 is about 1007.2661173305.

The spelling of 1021957125 in words is "one billion, twenty-one million, nine hundred fifty-seven thousand, one hundred twenty-five".