291125952 has 168 divisors, whose sum is σ = 951926976. Its totient is φ = 84271104.

The previous prime is 291125869. The next prime is 291125963. The reversal of 291125952 is 259521192.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126153 + ... + 128439.

It is an arithmetic number, because the mean of its divisors is an integer number (5666232).

Almost surely, 2^291125952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 291125952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475963488).

291125952 is an abundant number, since it is smaller than the sum of its proper divisors (660801024).

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

291125952 is a wasteful number, since it uses less digits than its factorization.

291125952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335 (or 2322 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The square root of 291125952 is about 17062.4134283518. The cubic root of 291125952 is about 662.7661316924.

The spelling of 291125952 in words is "two hundred ninety-one million, one hundred twenty-five thousand, nine hundred fifty-two".