30134950599961 has 27 divisors (see below), whose sum is σ = 31094797188637. Its totient is φ = 29204304920000.

The previous prime is 30134950599937. The next prime is 30134950599977. The reversal of 30134950599961 is 16999505943103.

It is a happy number.

The square root of 30134950599961 is 5489531.

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 752263063561 + 29382687536400 = 867331^2 + 5420580^2 .

It is not a de Polignac number, because 30134950599961 - 2⁹ = 30134950599449 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 30134950599893 and 30134950599902.

It is not an unprimeable number, because it can be changed into a prime (30134950699961) 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, 42988516911 + ... + 42988517611.

Almost surely, 2^{30134950599961} is an apocalyptic number.

30134950599961 is the 5489531-st square number.

30134950599961 is the 2744766-th centered octagonal number.

It is an amenable number.

30134950599961 is a deficient number, since it is larger than the sum of its proper divisors (959846588676).

30134950599961 is an frugal number, since it uses more digits than its factorization.

30134950599961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 35429400, while the sum is 64.

The spelling of 30134950599961 in words is "thirty trillion, one hundred thirty-four billion, nine hundred fifty million, five hundred ninety-nine thousand, nine hundred sixty-one".