1033507971007 has 16 divisors (see below), whose sum is σ = 1047630378240. Its totient is φ = 1019481869952.

The previous prime is 1033507970983. The next prime is 1033507971019. The reversal of 1033507971007 is 7001797053301.

It is a cyclic number.

It is not a de Polignac number, because 1033507971007 - 2³⁵ = 999148232639 is a prime.

It is a super-2 number, since 2×1033507971007² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033507971037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26427094 + ... + 26466172.

It is an arithmetic number, because the mean of its divisors is an integer number (65476898640).

Almost surely, 2^{1033507971007} is an apocalyptic number.

1033507971007 is a deficient number, since it is larger than the sum of its proper divisors (14122407233).

1033507971007 is a wasteful number, since it uses less digits than its factorization.

1033507971007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40302.

The product of its (nonzero) digits is 138915, while the sum is 43.

The spelling of 1033507971007 in words is "one trillion, thirty-three billion, five hundred seven million, nine hundred seventy-one thousand, seven".