1001462534361 has 27 divisors (see below), whose sum is σ = 1464559781269. Its totient is φ = 659433693912.

The previous prime is 1001462534329. The next prime is 1001462534407. The reversal of 1001462534361 is 1634352641001.

The square root of 1001462534361 is 1000731.

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

1001462534361 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 4 + 62 + 534 + 3 + 61 = 666.

1001462534361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1001462534361 - 2⁵ = 1001462534329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001462534321) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 249180010 + ... + 249184028.

Almost surely, 2^{1001462534361} is an apocalyptic number.

1001462534361 is the 1000731-st square number.

1001462534361 is the 500366-th centered octagonal number.

It is an amenable number.

1001462534361 is a deficient number, since it is larger than the sum of its proper divisors (463097246908).

1001462534361 is an frugal number, since it uses more digits than its factorization.

1001462534361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8210 (or 4105 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 1001462534361 by its sum of digits (36), we get a square (36052651236996 = 6004386²).

The spelling of 1001462534361 in words is "one trillion, one billion, four hundred sixty-two million, five hundred thirty-four thousand, three hundred sixty-one".