1013175072 has 288 divisors, whose sum is σ = 3605277312. Its totient is φ = 262766592.

The previous prime is 1013175049. The next prime is 1013175109. The reversal of 1013175072 is 2705713101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1755648 + ... + 1756224.

It is an arithmetic number, because the mean of its divisors is an integer number (12518324).

Almost surely, 2^1013175072 is an apocalyptic number.

1013175072 is a gapful number since it is divisible by the number (12) 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 1013175072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802638656).

1013175072 is an abundant number, since it is smaller than the sum of its proper divisors (2592102240).

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

1013175072 is a wasteful number, since it uses less digits than its factorization.

1013175072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 1013175072 is about 31830.4111189284. The cubic root of 1013175072 is about 1004.3725436622.

Adding to 1013175072 its reverse (2705713101), we get a palindrome (3718888173).

The spelling of 1013175072 in words is "one billion, thirteen million, one hundred seventy-five thousand, seventy-two".