13025111977024 has 315 divisors, whose sum is σ = 32089612333347. Its totient is φ = 5230266918912.

The previous prime is 13025111977001. The next prime is 13025111977067. The reversal of 13025111977024 is 42077911152031.

The square root of 13025111977024 is 3609032.

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

It can be written as a sum of positive squares in 2 ways, for example, as 4042383682624 + 8982728294400 = 2010568^2 + 2997120^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 58408573777 + ... + 58408573999.

Almost surely, 2^{13025111977024} is an apocalyptic number.

13025111977024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13025111977024 is the 3609032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13025111977024

13025111977024 is an abundant number, since it is smaller than the sum of its proper divisors (19064500356323).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13025111977024 is an frugal number, since it uses more digits than its factorization.

13025111977024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 43.

The spelling of 13025111977024 in words is "thirteen trillion, twenty-five billion, one hundred eleven million, nine hundred seventy-seven thousand, twenty-four".