1165258752 has 416 divisors, whose sum is σ = 4026040320. Its totient is φ = 291962880.

The previous prime is 1165258751. The next prime is 1165258781. The reversal of 1165258752 is 2578525611.

It is a super-2 number, since 2×1165258752² = 2715655918225195008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1165258751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37588977 + ... + 37589007.

Almost surely, 2^1165258752 is an apocalyptic number.

1165258752 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 1165258752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013020160).

1165258752 is an abundant number, since it is smaller than the sum of its proper divisors (2860781568).

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

1165258752 is a wasteful number, since it uses less digits than its factorization.

1165258752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 85 counting only the distinct ones).

The product of its digits is 168000, while the sum is 42.

The square root of 1165258752 is about 34135.8865711732. The cubic root of 1165258752 is about 1052.3029579434.

The spelling of 1165258752 in words is "one billion, one hundred sixty-five million, two hundred fifty-eight thousand, seven hundred fifty-two".