1957531536 has 75 divisors (see below), whose sum is σ = 5670277921. Its totient is φ = 651979584.

The previous prime is 1957531531. The next prime is 1957531567. The reversal of 1957531536 is 6351357591.

The square root of 1957531536 is 44244.

It is a perfect power (a square), and thus also a powerful number.

1957531536 is a `hidden beast` number, since 19 + 5 + 75 + 31 + 536 = 666.

1957531536 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1932129936 + 25401600 = 43956^2 + 5040^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1957531491 and 1957531500.

It is not an unprimeable number, because it can be changed into a prime (1957531531) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1592170 + ... + 1593398.

Almost surely, 2^1957531536 is an apocalyptic number.

1957531536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1957531536 is the 44244-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1957531536

1957531536 is an abundant number, since it is smaller than the sum of its proper divisors (3712746385).

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

1957531536 is an frugal number, since it uses more digits than its factorization.

1957531536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478 (or 1234 counting only the distinct ones).

The product of its digits is 425250, while the sum is 45.

The cubic root of 1957531536 is about 1250.9393549264.

The spelling of 1957531536 in words is "one billion, nine hundred fifty-seven million, five hundred thirty-one thousand, five hundred thirty-six".