2541501153 has 24 divisors (see below), whose sum is σ = 3763698120. Its totient is φ = 1651645440.

The previous prime is 2541501113. The next prime is 2541501163. The reversal of 2541501153 is 3511051452.

2541501153 is a `hidden beast` number, since 2 + 5 + 4 + 1 + 501 + 153 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 380367009 + 2161134144 = 19503^2 + 46488^2 .

It is not a de Polignac number, because 2541501153 - 2⁶ = 2541501089 is a prime.

It is a super-4 number, since 4×2541501153⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2541501113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644893 + ... + 648821.

It is an arithmetic number, because the mean of its divisors is an integer number (156820755).

Almost surely, 2^2541501153 is an apocalyptic number.

It is an amenable number.

2541501153 is a deficient number, since it is larger than the sum of its proper divisors (1222196967).

2541501153 is a wasteful number, since it uses less digits than its factorization.

2541501153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5729 (or 5726 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 2541501153 is about 50413.3033335448. The cubic root of 2541501153 is about 1364.6777277264.

The spelling of 2541501153 in words is "two billion, five hundred forty-one million, five hundred one thousand, one hundred fifty-three".