1047038516001 has 9 divisors (see below), whose sum is σ = 1512393401649. Its totient is φ = 698023630836.

The previous prime is 1047038515987. The next prime is 1047038516009. The reversal of 1047038516001 is 1006158307401.

The square root of 1047038516001 is 1023249.

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

1047038516001 is a `hidden beast` number, since 1 + 0 + 47 + 0 + 3 + 8 + 5 + 1 + 600 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1047038516001 - 2¹⁷ = 1047038384929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1047038516009) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2899206 + ... + 3240288.

Almost surely, 2^{1047038516001} is an apocalyptic number.

1047038516001 is the 1023249-th square number.

1047038516001 is the 511625-th centered octagonal number.

It is an amenable number.

1047038516001 is a deficient number, since it is larger than the sum of its proper divisors (465354885648).

1047038516001 is an frugal number, since it uses more digits than its factorization.

1047038516001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682172 (or 341086 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Multiplying 1047038516001 by its sum of digits (36), we get a square (37693386576036 = 6139494²).

The spelling of 1047038516001 in words is "one trillion, forty-seven billion, thirty-eight million, five hundred sixteen thousand, one".