13267442002500 has 405 divisors, whose sum is σ = 48764198740257. Its totient is φ = 3031683984000.

The previous prime is 13267442002447. The next prime is 13267442002513. The reversal of 13267442002500 is 520024476231.

The square root of 13267442002500 is 3642450.

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

13267442002500 is a `hidden beast` number, since 1 + 32 + 67 + 44 + 20 + 0 + 2 + 500 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 13091183094276 + 176258908224 = 3618174^2 + 419832^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3824570766 + ... + 3824574234.

Almost surely, 2^{13267442002500} is an apocalyptic number.

13267442002500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13267442002500 is the 3642450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13267442002500

13267442002500 is an abundant number, since it is smaller than the sum of its proper divisors (35496756737757).

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

13267442002500 is an frugal number, since it uses more digits than its factorization.

13267442002500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6982 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Multiplying 13267442002500 by its sum of digits (36), we get a square (477627912090000 = 21854700²).

13267442002500 divided by its sum of digits (36) gives a square (368540055625 = 607075²).

Adding to 13267442002500 its reverse (520024476231), we get a palindrome (13787466478731).

The spelling of 13267442002500 in words is "thirteen trillion, two hundred sixty-seven billion, four hundred forty-two million, two thousand, five hundred".