1752255000061 has 32 divisors (see below), whose sum is σ = 1932343741440. Its totient is φ = 1581504777216.

The previous prime is 1752255000053. The next prime is 1752255000103. The reversal of 1752255000061 is 1600005522571.

It is a cyclic number.

It is not a de Polignac number, because 1752255000061 - 2³ = 1752255000053 is a prime.

It is a super-2 number, since 2×1752255000061² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1752254999990 and 1752255000026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1752255003061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348843796 + ... + 348848818.

It is an arithmetic number, because the mean of its divisors is an integer number (60385741920).

Almost surely, 2^{1752255000061} is an apocalyptic number.

It is an amenable number.

1752255000061 is a deficient number, since it is larger than the sum of its proper divisors (180088741379).

1752255000061 is a wasteful number, since it uses less digits than its factorization.

1752255000061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9733.

The product of its (nonzero) digits is 21000, while the sum is 34.

The spelling of 1752255000061 in words is "one trillion, seven hundred fifty-two billion, two hundred fifty-five million, sixty-one", and thus it is an aban number.