71487251641 has 27 divisors (see below), whose sum is σ = 78504703533. Its totient is φ = 65067406560.

The previous prime is 71487251639. The next prime is 71487251653. The reversal of 71487251641 is 14615278417.

It is a happy number.

The square root of 71487251641 is 267371.

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

It can be written as a sum of positive squares in 4 ways, for example, as 23052045241 + 48435206400 = 151829^2 + 220080^2 .

It is not a de Polignac number, because 71487251641 - 2¹ = 71487251639 is a prime.

It is a super-2 number, since 2×71487251641² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 71487251591 and 71487251600.

It is not an unprimeable number, because it can be changed into a prime (71487251611) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 455332735 + ... + 455332891.

Almost surely, 2^71487251641 is an apocalyptic number.

71487251641 is the 267371-st square number.

71487251641 is the 133686-th centered octagonal number.

It is an amenable number.

71487251641 is a deficient number, since it is larger than the sum of its proper divisors (7017451892).

71487251641 is an equidigital number, since it uses as much as digits as its factorization.

71487251641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 301 counting only the distinct ones).

The product of its digits is 376320, while the sum is 46.

The spelling of 71487251641 in words is "seventy-one billion, four hundred eighty-seven million, two hundred fifty-one thousand, six hundred forty-one".