1361205672552 has 96 divisors (see below), whose sum is σ = 4070198976480. Its totient is φ = 407516830080.

The previous prime is 1361205672511. The next prime is 1361205672559. The reversal of 1361205672552 is 2552765021631.

It is a happy number.

1361205672552 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 20 + 5 + 6 + 72 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1361205672498 and 1361205672507.

It is not an unprimeable number, because it can be changed into a prime (1361205672559) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10287843 + ... + 10419314.

It is an arithmetic number, because the mean of its divisors is an integer number (42397906005).

Almost surely, 2^{1361205672552} is an apocalyptic number.

1361205672552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1361205672552 is an abundant number, since it is smaller than the sum of its proper divisors (2708993303928).

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

1361205672552 is a wasteful number, since it uses less digits than its factorization.

1361205672552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20707263 (or 20707256 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 1361205672552 in words is "one trillion, three hundred sixty-one billion, two hundred five million, six hundred seventy-two thousand, five hundred fifty-two".