1057219536 has 80 divisors (see below), whose sum is σ = 2859245568. Its totient is φ = 336201600.

The previous prime is 1057219531. The next prime is 1057219549. The reversal of 1057219536 is 6359127501.

It is a super-2 number, since 2×1057219536² = 2235426294600110592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1057219494 and 1057219503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057219531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100645 + ... + 110651.

Almost surely, 2^1057219536 is an apocalyptic number.

1057219536 is a gapful number since it is divisible by the number (16) 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 1057219536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429622784).

1057219536 is an abundant number, since it is smaller than the sum of its proper divisors (1802026032).

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

1057219536 is a wasteful number, since it uses less digits than its factorization.

1057219536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10120 (or 10114 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 1057219536 is about 32514.9125171820. The cubic root of 1057219536 is about 1018.7205333743.

The spelling of 1057219536 in words is "one billion, fifty-seven million, two hundred nineteen thousand, five hundred thirty-six".