1541057952 has 96 divisors (see below), whose sum is σ = 4640194944. Its totient is φ = 438681600.

The previous prime is 1541057927. The next prime is 1541057971. The reversal of 1541057952 is 2597501451.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1541057952² = 4749719222844868608, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1541057952.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184752 + ... + 192912.

It is an arithmetic number, because the mean of its divisors is an integer number (48335364).

Almost surely, 2^1541057952 is an apocalyptic number.

1541057952 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 1541057952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320097472).

1541057952 is an abundant number, since it is smaller than the sum of its proper divisors (3099136992).

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

1541057952 is a wasteful number, since it uses less digits than its factorization.

1541057952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8462 (or 8454 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 39.

The square root of 1541057952 is about 39256.3109830763. The cubic root of 1541057952 is about 1155.0647320404.

The spelling of 1541057952 in words is "one billion, five hundred forty-one million, fifty-seven thousand, nine hundred fifty-two".