1352545564050 has 192 divisors, whose sum is σ = 3751402752000. Its totient is φ = 358324948800.

The previous prime is 1352545564037. The next prime is 1352545564063. The reversal of 1352545564050 is 504655452531.

1352545564050 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 5 + 4 + 556 + 40 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (1352545564037) and next prime (1352545564063).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1352545563987 and 1352545564005.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 170621187 + ... + 170629113.

It is an arithmetic number, because the mean of its divisors is an integer number (19538556000).

Almost surely, 2^{1352545564050} is an apocalyptic number.

1352545564050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1352545564050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875701376000).

1352545564050 is an abundant number, since it is smaller than the sum of its proper divisors (2398857187950).

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

1352545564050 is a wasteful number, since it uses less digits than its factorization.

1352545564050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8758 (or 8747 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 45.

The spelling of 1352545564050 in words is "one trillion, three hundred fifty-two billion, five hundred forty-five million, five hundred sixty-four thousand, fifty".