125485269121 has 9 divisors (see below), whose sum is σ = 128228988099. Its totient is φ = 122799074784.

The previous prime is 125485269101. The next prime is 125485269127. The reversal of 125485269121 is 121962584521.

It is a happy number.

The square root of 125485269121 is 354239.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 54016732225 + 71468536896 = 232415^2 + 267336^2 .

It is a de Polignac number, because none of the positive numbers 2^k-125485269121 is a prime.

It is a super-2 number, since 2×125485269121² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125485269127) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16645465 + ... + 16653001.

Almost surely, 2^125485269121 is an apocalyptic number.

125485269121 is the 354239-th square number.

125485269121 is the 177120-th centered octagonal number.

It is an amenable number.

125485269121 is a deficient number, since it is larger than the sum of its proper divisors (2743718978).

125485269121 is an frugal number, since it uses more digits than its factorization.

125485269121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15168 (or 7584 counting only the distinct ones).

The product of its digits is 345600, while the sum is 46.

The spelling of 125485269121 in words is "one hundred twenty-five billion, four hundred eighty-five million, two hundred sixty-nine thousand, one hundred twenty-one".