1053057672 has 80 divisors (see below), whose sum is σ = 3104811600. Its totient is φ = 332540640.

The previous prime is 1053057671. The next prime is 1053057721. The reversal of 1053057672 is 2767503501.

1053057672 is a `hidden beast` number, since 1 + 0 + 530 + 57 + 6 + 72 = 666.

It is a super-2 number, since 2×1053057672² = 2217860921116119168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1053057671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30454 + ... + 55077.

It is an arithmetic number, because the mean of its divisors is an integer number (38810145).

Almost surely, 2^1053057672 is an apocalyptic number.

1053057672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1053057672 is an abundant number, since it is smaller than the sum of its proper divisors (2051753928).

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

1053057672 is a wasteful number, since it uses less digits than its factorization.

1053057672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85568 (or 85555 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 1053057672 is about 32450.8500967232. The cubic root of 1053057672 is about 1017.3820059694.

The spelling of 1053057672 in words is "one billion, fifty-three million, fifty-seven thousand, six hundred seventy-two".