10352152542132 has 30 divisors (see below), whose sum is σ = 27062571615618. Its totient is φ = 3450717513936.

The previous prime is 10352152542131. The next prime is 10352152542191. The reversal of 10352152542132 is 23124525125301.

10352152542132 is a `hidden beast` number, since 1 + 0 + 3 + 52 + 1 + 52 + 542 + 13 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8833949062416 + 1518203479716 = 2972196^2 + 1232154^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10352152542131) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 15975543723 + ... + 15975544370.

Almost surely, 2^{10352152542132} is an apocalyptic number.

10352152542132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10352152542132 is an abundant number, since it is smaller than the sum of its proper divisors (16710419073486).

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

10352152542132 is a wasteful number, since it uses less digits than its factorization.

10352152542132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31951088109 (or 31951088098 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 10352152542132 its reverse (23124525125301), we get a palindrome (33476677667433).

The spelling of 10352152542132 in words is "ten trillion, three hundred fifty-two billion, one hundred fifty-two million, five hundred forty-two thousand, one hundred thirty-two".