1057573515072 has 28 divisors (see below), whose sum is σ = 2798163259136. Its totient is φ = 352524504960.

The previous prime is 1057573515067. The next prime is 1057573515077. The reversal of 1057573515072 is 2705153757501.

It is a happy number.

1057573515072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1057573515067) and next prime (1057573515077).

It is a super-2 number, since 2×1057573515072² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057573515077) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2754097504 + ... + 2754097887.

It is an arithmetic number, because the mean of its divisors is an integer number (99934402112).

Almost surely, 2^{1057573515072} is an apocalyptic number.

1057573515072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1057573515072 is an abundant number, since it is smaller than the sum of its proper divisors (1740589744064).

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

1057573515072 is an equidigital number, since it uses as much as digits as its factorization.

1057573515072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5508195406 (or 5508195396 counting only the distinct ones).

The product of its (nonzero) digits is 1286250, while the sum is 48.

The spelling of 1057573515072 in words is "one trillion, fifty-seven billion, five hundred seventy-three million, five hundred fifteen thousand, seventy-two".