13351407552 has 224 divisors, whose sum is σ = 45415037440. Its totient is φ = 3814407936.

The previous prime is 13351407523. The next prime is 13351407557. The reversal of 13351407552 is 25570415331.

13351407552 is a `hidden beast` number, since 13 + 3 + 51 + 40 + 7 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13351407557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 972963 + ... + 986589.

Almost surely, 2^13351407552 is an apocalyptic number.

13351407552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13351407552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22707518720).

13351407552 is an abundant number, since it is smaller than the sum of its proper divisors (32063629888).

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

13351407552 is an frugal number, since it uses more digits than its factorization.

13351407552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13667 (or 13639 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

It can be divided in two parts, 13351 and 407552, that added together give a triangular number (420903 = T₉₁₇).

The spelling of 13351407552 in words is "thirteen billion, three hundred fifty-one million, four hundred seven thousand, five hundred fifty-two".