351145201115025 has 384 divisors, whose sum is σ = 717511476326400. Its totient is φ = 167560507699200.

The previous prime is 351145201115011. The next prime is 351145201115029. The reversal of 351145201115025 is 520511102541153.

351145201115025 is a `hidden beast` number, since 3 + 5 + 1 + 14 + 5 + 20 + 111 + 502 + 5 = 666.

It is not a de Polignac number, because 351145201115025 - 2⁸ = 351145201114769 is a prime.

It is a super-2 number, since 2×351145201115025² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (351145201115029) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 54180709785 + ... + 54180716265.

It is an arithmetic number, because the mean of its divisors is an integer number (1868519469600).

Almost surely, 2^{351145201115025} is an apocalyptic number.

It is an amenable number.

351145201115025 is an abundant number, since it is smaller than the sum of its proper divisors (366366275211375).

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

351145201115025 is a wasteful number, since it uses less digits than its factorization.

351145201115025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8838 (or 8827 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

Adding to 351145201115025 its reverse (520511102541153), we get a palindrome (871656303656178).

The spelling of 351145201115025 in words is "three hundred fifty-one trillion, one hundred forty-five billion, two hundred one million, one hundred fifteen thousand, twenty-five".