1031257164 has 48 divisors (see below), whose sum is σ = 2869590528. Its totient is φ = 281833728.

The previous prime is 1031257147. The next prime is 1031257181. The reversal of 1031257164 is 4617521301.

It is an interprime number because it is at equal distance from previous prime (1031257147) and next prime (1031257181).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264957 + ... + 268820.

It is an arithmetic number, because the mean of its divisors is an integer number (59783136).

Almost surely, 2^1031257164 is an apocalyptic number.

1031257164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1031257164 is an abundant number, since it is smaller than the sum of its proper divisors (1838333364).

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

1031257164 is a wasteful number, since it uses less digits than its factorization.

1031257164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533814 (or 533812 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1031257164 is about 32113.1929897978. The cubic root of 1031257164 is about 1010.3123446607.

Adding to 1031257164 its reverse (4617521301), we get a palindrome (5648778465).

It can be divided in two parts, 10312 and 57164, that added together give a palindrome (67476).

The spelling of 1031257164 in words is "one billion, thirty-one million, two hundred fifty-seven thousand, one hundred sixty-four".