13531369950 has 336 divisors, whose sum is σ = 43512277536. Its totient is φ = 3065299200.

The previous prime is 13531369939. The next prime is 13531369961. The reversal of 13531369950 is 5996313531.

13531369950 is a `hidden beast` number, since 1 + 3 + 531 + 3 + 69 + 9 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (13531369939) and next prime (13531369961).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13531369896 and 13531369905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 46182004 + ... + 46182296.

It is an arithmetic number, because the mean of its divisors is an integer number (129500826).

Almost surely, 2^13531369950 is an apocalyptic number.

13531369950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13531369950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21756138768).

13531369950 is an abundant number, since it is smaller than the sum of its proper divisors (29980907586).

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

13531369950 is a wasteful number, since it uses less digits than its factorization.

13531369950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 328050, while the sum is 45.

The spelling of 13531369950 in words is "thirteen billion, five hundred thirty-one million, three hundred sixty-nine thousand, nine hundred fifty".