125541276201 has 48 divisors (see below), whose sum is σ = 213915955968. Its totient is φ = 70086336000.

The previous prime is 125541276173. The next prime is 125541276247. The reversal of 125541276201 is 102672145521.

125541276201 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 4 + 1 + 27 + 620 + 1 = 666.

It is not a de Polignac number, because 125541276201 - 2⁹ = 125541275689 is a prime.

It is a super-2 number, since 2×125541276201² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125541236201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 714450 + ... + 872651.

It is an arithmetic number, because the mean of its divisors is an integer number (4456582416).

Almost surely, 2^125541276201 is an apocalyptic number.

125541276201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

125541276201 is a deficient number, since it is larger than the sum of its proper divisors (88374679767).

125541276201 is a wasteful number, since it uses less digits than its factorization.

125541276201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587182 (or 1587179 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 125541276201 in words is "one hundred twenty-five billion, five hundred forty-one million, two hundred seventy-six thousand, two hundred one".